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Finding the Third Proportional to 4,849,147.69 and 7,060,488.19

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Solution

The third proportional to 4,849,147.69 and 7,060,488.19 is: 10,280,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849,147.69 : 7,060,488.19 = 7,060,488.19 : x
  2. Step 2: Convert to fraction form
    4,849,147.69/7,060,488.19 = 7,060,488.19/x
  3. Step 3: Cross multiply
    4,849,147.69x = 7,060,488.19 × 7,060,488.19
  4. Step 4: Simplify right side
    4,849,147.69x = 49,850,493,445,827.03
  5. Step 5: Solve for x
    x = 49,850,493,445,827.03/4,849,147.69
  6. Step 6: Final answer
    x = 10,280,258.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.